The quadratic equation ax^2+bx+c=0 for nonzero real number a, will have real and equal roots if b^2-4ac is_

Q: What are the factors of x^6+64=0 (Show the solution)

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Q: solve the roots in complex form of the quadratic equation 2x^2+3x+4=0

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Q: If x^4+ax^2+bx+c= 0 has roots x=−1,2,and 3, find the values of a, b,and c, as well as the fourth…

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Q: In a quadratic equation(y=ax^2+bx+c) how does the change in values created in the a,b, and c values…

A: Let us solve the given problem in the next step.

Q: Use the discriminant to describe the type and number of roots of 9x^2+3x−2=0. The quadratic…

A: Let us assume the quadratic equation     ax2+bx+c =0then roots of the above equation is given by…

Q: One factor of x^2+bx+15 is x−3

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Q: List the roots and corresponding multiplicities of the polynomial equation   x^10+16x^9+64x^8=0.…

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Q: Solve the equation. Make sure to check for extraneous solutions A) 4x^2-5= 2^9x+1 B) 3^x= 9^-x+5…

A: see below the answer and calculation

Q: Simplify (-4x^2-8x+7)+(12x-9)-(7x+2)^2 and write in standard form.

A: To simplify -4x2-8x+7+12x-9-7x+22 and to write in standard form.

Q: 2, i, Find out the roots of the following by completing the square. 5x^2-2х-4-0

A: To Find: the roots of the following by completing the square: 5x2-2x-4=0.

Q: show that the equation x^5+2x^3+3x-4=0 has exactly one root. Justify your answer.

A: Given equation has only one root. Here is its explanation.

Q: Find all the roots x^3 - 27 = 0

A: To Find: All the roots of x3-27=0. Concept: i. a3-b3=a-ba2+ab+b2ii. if px=ax2+bx+c=0, then the roots…

Q: Explain why the polynomial equation 2x^10 +5x^ 6 +x ^4 +19x^2 +1=0 has no real roots.

A: the polynomial equation 2x^10 +5x^ 6 +x ^4 +19x^2 +1=0

Q: 25) 14m6-35m3 -7m2

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Q: identify all of the complex zeros of the function 2x^(4)-12x^(3)+12x^(2)-23x+12

A: Solution is given below in step 2.

Q: equations. In which for the equation of 2x^4-5x^3+10x^2-9=0 which is not a possible solution given…

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Q: What is the value of k so that the equation (k^2 - 4)x^3 + (k-2)x^2 + 7x - 8 = 0 is a quadratic…

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Q: X^(2)-12x+35=0 quadratic equation using quadratic forma

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Q: a3 – 4a2 + 4a = 0.

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Q: Show by completing a square that the solution to the equation ax^2-bx-a=b are x=-1 and x=(a+b)/a

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